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linear function or a non-linear function

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1. Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.

a. f(x) = x + 5

b. f(x) = 3 if x>2 otherwise f(x) = -2

c. f(x) = 7 if x>0 or f(x) = -7 if x<0 or f(x) = 7 or -7 if x = 0

2. Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear.

3. Take a look at the table below and write out an equation for f(x).

x -2 -1 0 1 2
f(x) -2 2 6 10 14

4. For each of the relationships below, explain whether you think it is best described by a linear function or a non-linear function. Explain your reasoning thoroughly

a. A person's height as a function of the person's age (from age 0 to 100)

b. The probability of getting into a car accident as a function of the speed at which you drive

c. The time it takes you to get to work as a function the speed at which you drive

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Solution Summary

Assess as linear functions or a non-linear functions.

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